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Finding the Fourth Proportional to 525,059.40, 786,782.70 and 391,312.20

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Solution

The fourth proportional to 525,059.40, 786,782.70 and 391,312.20 is: 586,367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,059.40 : 786,782.70 = 391,312.20 : x
  2. Step 2: Convert to fraction form
    525,059.40/786,782.70 = 391,312.20/x
  3. Step 3: Cross multiply
    525,059.40x = 786,782.70 × 391,312.20
  4. Step 4: Simplify right side
    525,059.40x = 307,877,669,258.94
  5. Step 5: Solve for x
    x = 307,877,669,258.94/525,059.40
  6. Step 6: Final answer
    x = 586,367.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.